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Finding the Fourth Proportional to 17,302.64, 23,852.76 and 12,326

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Solution

The fourth proportional to 17,302.64, 23,852.76 and 12,326 is: 16,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.64 : 23,852.76 = 12,326 : x
  2. Step 2: Convert to fraction form
    17,302.64/23,852.76 = 12,326/x
  3. Step 3: Cross multiply
    17,302.64x = 23,852.76 × 12,326
  4. Step 4: Simplify right side
    17,302.64x = 294,009,119.76
  5. Step 5: Solve for x
    x = 294,009,119.76/17,302.64
  6. Step 6: Final answer
    x = 16,992.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.